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9124020 = 22325173293
BaseRepresentation
bin100010110011…
…100010110100
3122011112210200
4202303202310
54313432040
6523320500
7140360433
oct42634264
918145720
109124020
115172014
123080130
131b75c39
1412d711a
15c03630
hex8b38b4

9124020 has 72 divisors (see below), whose sum is σ = 27931176. Its totient is φ = 2410752.

The previous prime is 9124007. The next prime is 9124021. The reversal of 9124020 is 204219.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 4088484 = 2244^2 + 2022^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 9123984 and 9124002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9124021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30994 + ... + 31286.

It is an arithmetic number, because the mean of its divisors is an integer number (387933).

Almost surely, 29124020 is an apocalyptic number.

9124020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965588).

9124020 is an abundant number, since it is smaller than the sum of its proper divisors (18807156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9124020 is a wasteful number, since it uses less digits than its factorization.

9124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 9124020 is about 3020.5992782890. The cubic root of 9124020 is about 208.9594787249.

Adding to 9124020 its reverse (204219), we get a palindrome (9328239).

The spelling of 9124020 in words is "nine million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 293 346 519 586 692 865 879 1038 1172 1465 1557 1730 1758 2076 2595 2637 2930 3114 3460 3516 4395 5190 5274 5860 6228 7785 8790 10380 10548 13185 15570 17580 26370 31140 50689 52740 101378 152067 202756 253445 304134 456201 506890 608268 760335 912402 1013780 1520670 1824804 2281005 3041340 4562010 9124020